Balanced directed cycle designs based on groups (Q1182947)
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scientific article; zbMATH DE number 32469
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Balanced directed cycle designs based on groups |
scientific article; zbMATH DE number 32469 |
Statements
Balanced directed cycle designs based on groups (English)
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28 June 1992
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A balanced directed cycle design with parameter \((v,k,\lambda)\) is a decomposition of the complete directed multigraph \(\lambda K_ v\) into edge disjoint directed cycles \(C_ k\). New constructions and characterizations of such designs invariant under a group acting regularly on the points are given. Some of the constructions extend previous results by \textit{N. Brand} and \textit{W. C. Huffman} [``Mendelsohn designs admitting the affine group'', Graphs Comb. 3, 313-324 (1987; Zbl 0659.05022)].
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directed cycles
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directed multigraph
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balanced directed cycle design
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0.85288954
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0.85051835
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0.82772744
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